Search a number
-
+
10114318368 = 2534711217271
BaseRepresentation
bin10010110101101110…
…00100000000100000
3222002212212121110000
421122313010000200
5131203231141433
64351344540000
7505433200440
oct113267040040
928085777400
1010114318368
1143202a6100
121b63321600
13c525a528b
146bd400120
153e2e40113
hex25adc4020

10114318368 has 720 divisors, whose sum is σ = 39710829312. Its totient is φ = 2463436800.

The previous prime is 10114318363. The next prime is 10114318381. The reversal of 10114318368 is 86381341101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114318363) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37322073 + ... + 37322343.

Almost surely, 210114318368 is an apocalyptic number.

10114318368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114318368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19855414656).

10114318368 is an abundant number, since it is smaller than the sum of its proper divisors (29596510944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10114318368 is a wasteful number, since it uses less digits than its factorization.

10114318368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 10114318368 its reverse (86381341101), we get a palindrome (96495659469).

The spelling of 10114318368 in words is "ten billion, one hundred fourteen million, three hundred eighteen thousand, three hundred sixty-eight".